Quadratic Equations

Quadratic Equations

Solving

• We want to find the solutions

• Where the quadratic crosses the x-axis

• Use DESMOS to graph!!!

Multiple Select

What can the roots to a quadratic equation be called?

• zeros

• solutions

• x-intercepts

• none of the choices

Multiple Choice

What are the green dots called?

• axis of symmetry
• vertex
• parabola
• roots or x-intercepts

Multiple Choice

What are the x- intercepts?

• x= 0 and x= -4
• x= 0 and x= 4
• y= 0
• x= 2

Multiple Choice

Solve the following quadratic equation: $5x^2=10x$  

•  $x=-2$  

•  $x=2$  

•  $x=2$  & $x=0$  

•  $x=-2$  & $x=0$  

Multiple Choice

Solve the following quadratic equation: $4x^2-9=0$  

•  $x=\frac{3}{2}$  &  $x=-\frac{3}{2}$  

•  $x=\frac{2}{3}$  & $x=\frac{-2}{3}$  

•  $x=\frac{9}{4}$  

•  $x=\frac{4}{9}$  

Multiple Choice

Solve

x² + 2x - 20 = 4

• x = -6, x = 4

• x = 6, x = -4

• x = 12, x = -2

• x = 8, x = -3

Multiple Choice

Solve for the values of x:
(x + 2)(x - 3) = 0

• { 2, 3 }
• { -2, -3 }
• { 2, 3 }
• { -2, 3 }

Multiple Choice

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6
• x = 3 and x = -6
• x = -9 and x = 2
• x = 9 and x = -2

Multiple Choice

Solve by factoring: x² - 9x + 20 = 0

• x = -4 and x = -5
• x = 20 and x = -9
• x = 4 and x = 5
• x = -4 and x = 5

Multiple Choice

Solve Using the Quadratic Formula
 x² + 4x - 40 = -8

• -10 & -4
• -4 & 10
• -8 & 4
• 8 & -4

Multiple Choice

Solve by factoring: x² = 7x + 18

• -7 and -18

• 9 and 2

• 9 and -2

• 2 and 7

Multiple Choice

 $x^2-7x=0$  

Solve by the method of your choice.

• x = 7 only
  

• x = 0 only
  

• x = 0 and 7
  

• There is no real answer for this equation.